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Geometry A Bellwork Sheet # 7

Geometry A Bellwork Sheet # 7. 52 °. 1) Find the value of the variable. (2x)°. 4-1 Congruent Figures. Congruent Figures. Congruent figures have the same size and shape . They have corresponding sides that are congruent. They have corresponding angles that are congruent.

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Geometry A Bellwork Sheet # 7

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  1. Geometry A Bellwork Sheet # 7 52° 1) Find the value of the variable. (2x)°

  2. 4-1 Congruent Figures

  3. Congruent Figures • Congruent figures have the same size and shape. • They have corresponding sides that are congruent. • They have corresponding angles that are congruent. These trapezoids are congruent.

  4. EX. ∆EFG is congruent to ∆FGH Name all corresponding parts. E H G F ANGLES SIDES E H EF HF F F EG HG G G GF GF

  5. IH RS 3a = 6 3a = 6 3 3 In the figure, quadrilateral JIHK quadrilateral QRST. Find a. Divide both sides by 3. 3a I H a = 2 6 4b° S R 120° J 30° Q K c + 10° T

  6. H S 4b = 120 4b = 120 4 4 In the figure, quadrilateral JIHK quadrilateral QRST. Find b. Divide both sides by 4. 3a I H 6 4b° S R b = 30° 120° J 30° Q K c + 10° T

  7. K T c + 10 = 30 c + 10 = 30 –10 –10 In the figure, quadrilateral JIHK quadrilateral QRST. Find c. Subtract 10 from both sides. 3a I H 6 c = 20° 4b° S R 120° J 30° Q K c + 10° T

  8. Third-Angle Theorem If two angles of one triangle are congruent to two angles of another triangle, then there third angles are congruent. D A C B E F C = ˜ F

  9. EX. Can you conclude the figures are congruent? Justify your answer. 6 6

  10. OYO. Can you conclude the figures are congruent? Justify your answer. 11 11

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